Search a number
-
+
2264376744 = 2332717264283
BaseRepresentation
bin1000011011110111…
…1010010110101000
312211210211020221100
42012331322112220
514114140023434
61012405241400
7110053612320
oct20675722650
95753736840
102264376744
11a621aa843
12532403260
132a11817c6
14176a38280
15d3bd6699
hex86f7a5a8

2264376744 has 96 divisors (see below), whose sum is σ = 7421094720. Its totient is φ = 608905728.

The previous prime is 2264376733. The next prime is 2264376757. The reversal of 2264376744 is 4476734622.

It is a super-3 number, since 3×22643767443 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2264376744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123574 + ... + 140709.

It is an arithmetic number, because the mean of its divisors is an integer number (77303070).

Almost surely, 22264376744 is an apocalyptic number.

2264376744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2264376744 is an abundant number, since it is smaller than the sum of its proper divisors (5156717976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2264376744 is a wasteful number, since it uses less digits than its factorization.

2264376744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264319 (or 264312 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The square root of 2264376744 is about 47585.4677816663. The cubic root of 2264376744 is about 1313.1557165442.

The spelling of 2264376744 in words is "two billion, two hundred sixty-four million, three hundred seventy-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 264283 528566 792849 1057132 1585698 1849981 2114264 2378547 3171396 3699962 4492811 4757094 5549943 6342792 7399924 8985622 9514188 11099886 13478433 14799848 16649829 17971244 19028376 22199772 26956866 31449677 33299658 35942488 40435299 44399544 53913732 62899354 66599316 80870598 94349031 107827464 125798708 133198632 161741196 188698062 251597416 283047093 323482392 377396124 566094186 754792248 1132188372 2264376744